413098959 has 48 divisors (see below), whose sum is σ = 696481632. Its totient is φ = 215857152.

The previous prime is 413098951. The next prime is 413098999. The reversal of 413098959 is 959890314.

It is not a de Polignac number, because 413098959 - 2³ = 413098951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413098951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214987 + ... + 216899.

It is an arithmetic number, because the mean of its divisors is an integer number (14510034).

Almost surely, 2^413098959 is an apocalyptic number.

413098959 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

413098959 is a deficient number, since it is larger than the sum of its proper divisors (283382673).

413098959 is a wasteful number, since it uses less digits than its factorization.

413098959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 413098959 is about 20324.8360140986. The cubic root of 413098959 is about 744.7628985890.

The spelling of 413098959 in words is "four hundred thirteen million, ninety-eight thousand, nine hundred fifty-nine".